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Annette [7]
3 years ago
6

Find the Sum/Difference of the following integers. 1. -2 + 9 =

Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

1. 7

2. -20

3. 1

4. -9

5. 0

6. 5

7. 1

8. -1

9. -19

10. 1

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a rectangle has a primeter of 200 ft the length is 4 more feet than the width find the dimensions of the rectangle
zysi [14]

The length and width of the given rectangle are 52 ft and 48 ft respectively.

<h3><u>Solution:</u></h3>

The relationship between the length and breadth is given as following:

The length is 4 more feet than the width

The perimeter of the rectangle is given as 200 ft.

The formula to find the perimeter of a rectangle is:

Perimeter = 2(length + width)

Let length and width of the rectangle be denoted as ‘L’ and ‘B’

The given relationship between length and width can be written in equation form as follows:

L = 4 + B ------ eqn 1

Substitute the value of "L" in perimeter of triangle

200 = 2(4 + B + B)

200 = 2(4 + 2B)

200 = 8 + 4B

4B = 192

B = 48

Since, we know the value of width lets substitute it in eq1 to find the length.

L = 4 + 48

L = 52

Therefore, the length and width of the given rectangle are 52 ft and 48 ft respectively.

7 0
4 years ago
Which exponential function is represented by the values in the table?
Goryan [66]

Answer:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

Step-by-step explanation:

<u>Exponential Function</u>

The exponential function can be written with the general equation:

f(x)=A\cdot r^x

Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.

The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.

Substituting in the third function:

\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0

f(0) = 4

This gives the correct value of f(0)=4.

Substituting in the fourth function:

\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x

\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0

f(0) = \frac{1}{2}

This choice is wrong

Correct choice:

\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}

8 0
3 years ago
Which value goes in the empty cell?
Andrews [41]

Answer:

[See Below]

Step-by-step explanation:

If you replace the x with -1 and evaluate the function you get -5.

7 0
3 years ago
Read 2 more answers
Which radical expression is equivalent to 3^3/4
OleMash [197]
The numerator of the fraction is the power of the number and the denominator is the root of the number. This is expressed as follows:

⁴√(3)³
8 0
3 years ago
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What is the volume of the rectangular prism?<br><br> Type the answer in the boxes below.
Wittaler [7]

Answer:

15 cm^3

Step-by-step explanation:

I think it's 15 because if you count, there are 30 boxes. Each box has a volume of 1/2, so you are supposed to multiply, which means 1/2x30.

1/2x30=15

I hope it's right!

8 0
3 years ago
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